English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Over any smooth algebraic variety over a $p$-adic local field $k$, weconstruct the de Rham comparison isomorphisms for the \'etale cohomology withpartial compact support of de Rham $\mathbb Z_p$-local systems, and show thatthey are compatible with Poincar\'e duality and with the canonical morphismsamong such cohomology. We deduce these results from their analogues for rigidanalytic varieties that are Zariski open in some proper smooth rigid analyticvarieties over $k$. In particular, we prove finiteness of \'etale cohomologywith partial compact support of any $\mathbb Z_p$-local systems, and establishthe Poincar\'e duality for such cohomology after inverting $p$.

De Rham comparison and Poincar\'e duality for rigid varieties